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Finding the Fourth Proportional to 5,200.72, 7,179.60 and 3,530.96

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Solution

The fourth proportional to 5,200.72, 7,179.60 and 3,530.96 is: 4,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.72 : 7,179.60 = 3,530.96 : x
  2. Step 2: Convert to fraction form
    5,200.72/7,179.60 = 3,530.96/x
  3. Step 3: Cross multiply
    5,200.72x = 7,179.60 × 3,530.96
  4. Step 4: Simplify right side
    5,200.72x = 25,350,880.42
  5. Step 5: Solve for x
    x = 25,350,880.42/5,200.72
  6. Step 6: Final answer
    x = 4,874.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.